Pith Number

pith:3JSOW3NQ

pith:2011:3JSOW3NQF57EFKBESA3C6DBPNW

not attested not anchored not stored refs pending

Mean field games equations with quadratic Hamiltonian: a specific approach

Olivier Gu\'eant

arxiv:1106.3269 v1 · 2011-06-16 · math.NA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JSOW3NQF57EFKBESA3C6DBPNW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:19:53.841618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da64eb6db02f7e42a82490362f0c2f6d881b7285d9ef5c3aae06acde8d313a91

Aliases

arxiv: 1106.3269 · arxiv_version: 1106.3269v1 · doi: 10.48550/arxiv.1106.3269 · pith_short_12: 3JSOW3NQF57E · pith_short_16: 3JSOW3NQF57EFKBE · pith_short_8: 3JSOW3NQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3JSOW3NQF57EFKBESA3C6DBPNW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: da64eb6db02f7e42a82490362f0c2f6d881b7285d9ef5c3aae06acde8d313a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00250a842ac3e07f77bc6ca22e0435d1c11a8274758ac1e187eb39a274fab62c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-16T16:38:24Z",
    "title_canon_sha256": "48e132555f419bef377198ace75211772c3777dc69bcf190960900b2e4fde778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3269",
    "kind": "arxiv",
    "version": 1
  }
}